<?xml version="1.0" encoding="utf-8" ?> <!-- for emacs: -*- coding: utf-8 -*- --> <!-- Apache may like this line in the file .htaccess: AddCharset utf-8 .html --> <!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.1 plus MathML 2.0 plus SVG 1.1//EN" "http://www.w3.org/2002/04/xhtml-math-svg/xhtml-math-svg-flat.dtd" > <html xmlns="http://www.w3.org/1999/xhtml" xml:lang="en"> <head><title>Net ^ ZZ -- raise a net or string</title> <link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/> </head> <body> <table class="buttons"> <tr> <td><div><a href="___Net_sp_vb_sp__Net.html">next</a> | <a href="_net.html">previous</a> | <a href="___Net_sp_vb_sp__Net.html">forward</a> | <a href="_net.html">backward</a> | up | <a href="index.html">top</a> | <a href="master.html">index</a> | <a href="toc.html">toc</a> | <a href="http://www.math.uiuc.edu/Macaulay2/">Macaulay2 web site</a></div> </td> </tr> </table> <hr/> <div><h1>Net ^ ZZ -- raise a net or string</h1> <div class="single"><h2>Synopsis</h2> <ul><li><div class="list"><dl class="element"><dt class="heading">Usage: </dt><dd class="value"><div><tt>n^i</tt></div> </dd></dl> </div> </li> <li><span>Operator: <a href="_^.html" title="a binary operator, usually used for powers">^</a></span></li> <li><div class="single">Inputs:<ul><li><span><tt>n</tt>, <span>a <a href="___Net.html">net</a></span>, or a <span>a <a href="___String.html">string</a></span></span></li> <li><span><tt>i</tt>, <span>an <a href="___Z__Z.html">integer</a></span></span></li> </ul> </div> </li> <li><div class="single">Outputs:<ul><li><span><span>a <a href="___Net.html">net</a></span>, obtained by elevating <tt>n</tt> by raising its characters by <tt>i</tt> rows</span></li> </ul> </div> </li> </ul> </div> <div class="single"><h2>Description</h2> <div><p/> If <tt>n</tt> is a string, then <tt>n^0</tt> is an easy way to convert it to a net.<table class="examples"><tr><td><pre>i1 : s = "x" o1 = x</pre> </td></tr> <tr><td><pre>i2 : class(s^0) o2 = Net o2 : Type</pre> </td></tr> <tr><td><pre>i3 : n = s^1|"ij" x o3 = ij</pre> </td></tr> <tr><td><pre>i4 : n^-3 o4 = x ij</pre> </td></tr> </table> </div> </div> <div class="single"><h2>See also</h2> <ul><li><span><a href="_strings_spand_spnets.html" title="">strings and nets</a></span></li> </ul> </div> </div> </body> </html>